1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 161/46 | Equatix

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Question

$$161/46$$

Evaluate

$\frac{7}{2}=3.5$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $161$

$$\begin{array}{l}\phantom{46)}\phantom{1}\\46\overline{)161}\\\end{array}$$

Since $1$ is less than $46$, use the next digit $6$ from dividend $161$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{46)}0\phantom{2}\\46\overline{)161}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $161$

$$\begin{array}{l}\phantom{46)}0\phantom{3}\\46\overline{)161}\\\end{array}$$

Since $16$ is less than $46$, use the next digit $1$ from dividend $161$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{46)}00\phantom{4}\\46\overline{)161}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $161$

$$\begin{array}{l}\phantom{46)}00\phantom{5}\\46\overline{)161}\\\end{array}$$

Find closest multiple of $46$ to $161$. We see that $3 \times 46 = 138$ is the nearest. Now subtract $138$ from $161$ to get reminder $23$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{46)}003\phantom{6}\\46\overline{)161}\\\phantom{46)}\underline{\phantom{}138\phantom{}}\\\phantom{46)9}23\\\end{array}$$

Since $23$ is less than $46$, stop the division. The reminder is $23$. The topmost line $003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }23$$

Show Solution

Factor

$\frac{7}{2} = 3\frac{1}{2} = 3.5$